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Finding the Third Proportional to 164,270 and 354,757

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Solution

The third proportional to 164,270 and 354,757 is: 766,132.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,270 : 354,757 = 354,757 : x
  2. Step 2: Convert to fraction form
    164,270/354,757 = 354,757/x
  3. Step 3: Cross multiply
    164,270x = 354,757 × 354,757
  4. Step 4: Simplify right side
    164,270x = 125,852,529,049
  5. Step 5: Solve for x
    x = 125,852,529,049/164,270
  6. Step 6: Final answer
    x = 766,132.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.